Changes between Version 6 and Version 7 of doc/tec/turbulence_parameterization
- Timestamp:
- Nov 22, 2018 11:59:02 AM (6 years ago)
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doc/tec/turbulence_parameterization
v6 v7 57 57 }}} 58 58 59 The mixing length is defined using the mixing length //l//,,B,, according to Blackadar (1962) and the Dyer-Businger function Φ,,m,,59 The mixing length is defined using the mixing length //l//,,B,, according to Blackadar (1962) and the Dyer-Businger function //Φ//,,m,, 60 60 {{{ 61 61 #!Latex … … 67 67 \end{align*} 68 68 }}} 69 where //κ//, //f//, //U//,,g,,, //L//, and //z// denote the von-Karman constant, the Coriolis parameter, the geostrophic wind, the Monin-Obukhov length, and the height, respectively.69 where //κ//, //f//, //U//,,g,,, //L//, and //z// denote the von-Karman constant, the Coriolis parameter, the geostrophic wind, the Obukhov length, and the height, respectively. 70 70 //l//,,wall,, defines an upper limit of the mixing length as the distance to the nearest solid surface (wall). 71 71 … … 108 108 The model constants //c//,,1,,, //c//,,2,,, and //c//,,3,, are set to 1.44, 1.92, and 1.44, respectively. 109 109 These values can be altered via the namelist parameter [/wiki/doc/app/inipar#rans_const_c rans_const_c]. 110 111 Boundary conditions for //e//, //ε//, and //K//,,m,, are 112 {{{ 113 #!Latex 114 \begin{align*} 115 e &= \left( \frac{u_*}{c_0} \right)^2, \\ 116 \varepsilon &= \frac{u_*^3}{\kappa z_\mathrm{MO}}, \\ 117 K_\mathrm{m} &= \kappa \ u_* \ z_\mathrm{MO} \ \Phi_\mathrm{m}^{-1}(\frac{z_\mathrm{MO}}{L}), 118 \end{align*} 119 }}} 120 where //u//,,*,, denote the friction velocity. Note that //Φ//,,m,, is only used for horizontal boundaries.
